Journal of Operational Research and Its Applications ( Applied Mathematics ) - Lahijan Azad University

This study was conducted to investigate the overall efficiency of production and transmission of electricity. For this purpose, sixteen areas of production and transmission of electricity industry of Iran were selected as decision-making units. Based on Khalili and Shahmir’s model, a mathematical model was proposed that includes two stages of the production and transmission of electricity. In this proposed model, at the end stage of the production, output variables were considered which do not enter to next stage of production. In the second phase, in addition to inputs received from the production stage, other input variables were considered that are not included in the model from the previous stage. In the first stage, variables of domestic consumption of power stations and consumed fuel were regarded as input variables, and maximum production load variables, special production, gross production, efficiency, nominal power of power station, and practical power of power station were considered as outpout variables. In the second stage, variables of maximum production load, especial production, gross production, capacity of power transmission posts and transmission lines were considered as input variables, while delivered energy variable was considered as desired output, and energy losses were considered as undesired output variable. Results of the two stages indicated that districts of Azerbaijan, Isfahan, Tehran, Khorasan, Khuzestan, Semnan, Kerman, and Fars were efficient.